1616321440 has 24 divisors (see below), whose sum is σ = 3818559780. Its totient is φ = 646528512.

The previous prime is 1616321387. The next prime is 1616321449. The reversal of 1616321440 is 441236161.

It can be written as a sum of positive squares in 2 ways, for example, as 1558986256 + 57335184 = 39484^2 + 7572^2 .

It is a super-2 number, since 2×1616321440² = 5224989994807347200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1616321399 and 1616321408.

It is not an unprimeable number, because it can be changed into a prime (1616321449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5050845 + ... + 5051164.

Almost surely, 2^1616321440 is an apocalyptic number.

1616321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1616321440 is an abundant number, since it is smaller than the sum of its proper divisors (2202238340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1616321440 is a wasteful number, since it uses less digits than its factorization.

1616321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102024 (or 10102016 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1616321440 is about 40203.5003451192. The cubic root of 1616321440 is about 1173.5706633672.

The spelling of 1616321440 in words is "one billion, six hundred sixteen million, three hundred twenty-one thousand, four hundred forty".